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Evaluation of using Lattice Boltzmann Method for Simulation of Two Phase Flow in Saturated Porous Media

Sheik, Bahman | 2011

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 42779 (09)
  4. University: Sharif University of Technology
  5. Department: Civil Engineering
  6. Advisor(s): Pak, Ali
  7. Abstract:
  8. Fluid flow in porous media is a common phenomenon in the nature, in many fields of science and engineering such as flow of water in the soil, migration of contaminants in the soil, petroleum reservoir engineering, semi?olten magma flow in the crust, water flow in plants, blood flow in body tissues, etc. In many cases, the porous structure of the medium and fluid flow pattern are very complex because of the inherent problems of fluidAluid and fluidsolid interactions. Also, secondary issues such as intrinsic permeability and tortuosity of porous media, and relative permeability of two phase flow, increase the complication of the analyses. Studying these types of phenomena in the nature or even in laboratory in order to understand the mechanisms governing them, is complex and sometimes impossible, thus, numerical methods are valuable tools for understanding of the mechanisms. In this study, by means of Multi Relaxation Time Lattice Boltzmann Method a software for simulating fluid flow in porous media at the level of mesoscale has been developed. This software is equipped with OpenMP technics in order to speed up calculations in multi core computers. Various benchmark examples have been simulated by this software and the obtained results are compared with the available closedAorm solutions, experimental measurements, and the results of other numerical models. After verification of the software, by means of simulating four practical engineering applications, the capability of the software in modeling geotechnical engineering and porous media problems is assessed. These applications include: 1) Study of the intrinsic permeability which is one of the fundamental parameters in flow analyses through porous media. The effects of factors such as porosity, particles diameters on the variation of intrinsic permeability and tortuosity of porous media have been studied. Also, comparisons have been made between the obtained results and the predicted values by conventional predictive relationships. 2) Study of viscous fingering phenomenon of immiscible fluids displacement in a channel and porous media which is of great importance in a wide variety of industrial applications including secondary and tertiary oil recovery. The effects of factors such as viscosity ratio, capillary number and wettability on the shape and speed of advancement of the fingers are investigated. 3) Study of the relative permeability curves which have practical applications in petroleum reservoir simulations. Study of the effects of reservoirs wettability, pore shape geometry, and viscosity ratio of flowing fluids on relative permeability, is of great importance in reservoir modeling. In this study, the relative permeability curves have been derived from numerical analyses and the effects of different factors have been investigated Study of the migration of DNAPL in saturated porous media by simulation of an experimental work has been conducted.
    The developed LBM software in this research proved to be very robust in modeling a wide range of engineering applications as well as ability to clarify the complexities of the physics of two phase flow in porous media
  9. Keywords:
  10. Porous Media ; Intrinsic Permeability ; Two Phase Flow ; Lattice Boltzmann Method ; Relative Permeability

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